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Finding the Third Proportional to 45,258.75 and 83,851.88

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Solution

The third proportional to 45,258.75 and 83,851.88 is: 155,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,258.75 : 83,851.88 = 83,851.88 : x
  2. Step 2: Convert to fraction form
    45,258.75/83,851.88 = 83,851.88/x
  3. Step 3: Cross multiply
    45,258.75x = 83,851.88 × 83,851.88
  4. Step 4: Simplify right side
    45,258.75x = 7,031,136,941.02
  5. Step 5: Solve for x
    x = 7,031,136,941.02/45,258.75
  6. Step 6: Final answer
    x = 155,354.20

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.